5 papers
On the exact divisibility by of the class number of some pure metacyclic fields
Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi
Let be a pure quintic field, where is a natural number power-free. Let , with is a primitive $…
On some realizable metabelian -groups
Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi
Let be a -group of maximal class and its derived group. Assume that the abelianization is of type and the transfers …
-Principalization over -fields
Siham Aouissi, Mohamed Talbi, Daniel C. Mayer +1
Let be a prime number and be a primitive cube root of unity. Then is a pure metacyclic field with grou…
5-Class towers of cyclic quartic fields arising from quintic reflection
Abdelmalek Azizi, Yasuhiro Kishi, Daniel C. Mayer +2
Let zeta5 be a primitive fifth root of unity and d<>1 be a quadratic fundamental discriminant not divisible by 5. For the 5-dual cyclic quartic field M=Q((zeta5-zeta5^-1)*d^1/2) of…
Self-generated off-axis holography in interferometric out-of-focus imaging of ice particles
Mohamed Talbi, Gérard Gréhan, Marc Brunel
Interferometric out-of-focus imaging of ice particles is realized. The overlapping defocused images of two nearby ice particles are analyzed. If one particle is much smaller than t…